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Finding the Fourth Proportional to 109,202.19, 150,674.09 and 61,438.11

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Solution

The fourth proportional to 109,202.19, 150,674.09 and 61,438.11 is: 84,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,202.19 : 150,674.09 = 61,438.11 : x
  2. Step 2: Convert to fraction form
    109,202.19/150,674.09 = 61,438.11/x
  3. Step 3: Cross multiply
    109,202.19x = 150,674.09 × 61,438.11
  4. Step 4: Simplify right side
    109,202.19x = 9,257,130,841.06
  5. Step 5: Solve for x
    x = 9,257,130,841.06/109,202.19
  6. Step 6: Final answer
    x = 84,770.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.